Results 71 to 80 of about 72,493 (237)
Large greatest common divisor sums and extreme values of the Riemann zeta function [PDF]
, 2015 It is shown that the maximum of $|\zeta(1/2+it)|$ on the interval $T^{1/2}\le t \le T$ is at least $\exp\left((1/\sqrt{2}+o(1)) \sqrt{\log T \log\log\log T/\log\log T}\right)$.
A. Bondarenko, K. Seip
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Moments of the Riemann zeta function on short intervals of the critical line [PDF]
Annals of Probability, 2019 We show that as $T\to \infty$, for all $t\in [T,2T]$ outside of a set of measure $\mathrm{o}(T)$, $$ \int_{-(\log T)^{\theta}}^{(\log T)^{\theta}} |\zeta(\tfrac 12 + \mathrm{i} t + \mathrm{i} h)|^{\beta} \mathrm{d} h = (\log T)^{f_{\theta}(\beta ...
L. Arguin +2 more
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Locally Adaptive Non‐Hydrostatic Shallow Water Extension for Moving Bottom‐Generated Waves
International Journal for Numerical Methods in Fluids, Volume 98, Issue 2, Page 159-173, February 2026.This study proposes a locally adaptive non‐hydrostatic model, which is based on the non‐hydrostatic extension of the shallow water equations (SWE) with a quadratic pressure relation, and applies it to wave propagation generated by a moving bottom. To obtain the locally adaptive model, we investigate several potential adaptivity criteria based on the ...
Kemal Firdaus, Jörn Behrens
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Riemann zeta function and quantum chaos
, 2007 A brief review of recent developments in the theory of the Riemann zeta function inspired by ideas and methods of quantum chaos is given.Comment: Lecture given at International Conference on Quantum Mechanics and Chaos, Osaka, September ...
Bogomolny, Eugene
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Discrete universality for Matsumoto zeta-functions and the nontrivial zeros of the Riemann zeta-function [PDF]
, 2023 Keita Nakai
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Coordinate‐ and Spacetime‐Independent Quantum Physics
Annalen der Physik, Volume 538, Issue 1, January 2026.This article studies in the framework of quantum field theory in curved spacetime, if there exists a single zero‐rank‐tensor solution of a Klein‐Gordon PDE, being valid at once for the depicted spacetimes. The answer is shown to be affirmative, even for a class of such solutions having the standard applications in particle physics. ABSTRACT The concept
Viacheslav A. Emelyanov, Daniel Robertz
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Summability methods based on the Riemann Zeta function
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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Trace formula in noncommutative geometry and the zeros of the Riemann zeta function [PDF]
, 1998 . We give a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while eventual noncritical zeros appear as resonances.
A. Connes
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Bandlimited approximations and estimates for the Riemann zeta-function [PDF]
Publicacions matemàtiques, 2017 In this paper, we provide explicit upper and lower bounds for the argument of the Riemann zeta-function and its antiderivatives in the critical strip under the assumption of the Riemann hypothesis.
E. Carneiro +2 more
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